Algebra MCQs
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Question 46medium
If a2 + b2 + c2 - ab - bc - ca = 0 then a : b : c is?
Question 47medium
If $$\frac{{{a^2} + {b^2} + {c^2} - 1024}}{{ab - bc - ca}} = - 2$$ and a + b = 5c, where c > 0, then the value of c is . . . . . . . .
Question 48medium
If x3 + y3 + z3 = 3(1 + xyz), P = y + z - x, Q = z + x - y and R = x + y - z, then what is the value of P3 + Q3 + R3 - 3PQR?
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Question 49medium
If (4a - 3b) = 1, ab = $$\frac{1}{2}$$ where a > 0 and b > 0, what is the value of (64a3 + 27b3)?
Question 50medium
A complete factorisation of x4 + 64 is?
Question 51medium
If $$x = a + \frac{1}{a}$$ and $$y = a - \frac{1}{a},$$ then the value of x4 + y4 - 2x2y2 is?
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Question 52easy
If x = 2 - p, then x3 + 6xp + p3 is equal to:
Question 53easy
If (x - a)(x - b) = 1 and a - b + 5 = 0, then the value of $${\left( {x - a} \right)^3}$$ - $$\frac{1}{{{{\left( {x - a} \right)}^3}}}\,{\text{}}$$ is?
Question 54easy
If $$\frac{a}{b} = \frac{7}{9},{\text{ }}\frac{b}{c} = \frac{3}{5}{\text{,}}$$ then the value of a : b : c is?